which is exactly expression (), obtained much more indirectly in section REF . The values of the Weingarten coefficients in (REF ) were
obtained from [1]}. They read with the present notations (\(d=n-1\)  and (REF )) as
\(\mbox{Wg}(1^3)= \hat{\kappa } \: (n^2+n-4) \qquad \qquad \mbox{Wg}(2,1)= -\hat{\kappa } \: (n+1)\qquad \qquad \mbox{Wg}(3)=2\hat{\kappa }\hspace{5.0pt}.\) 
